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Experimental Mathematics Volume 26, 2017 - Issue 4
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Original Articles

Continued Logarithms and Associated Continued Fractions

Jonathan M. BorweinCARMA, University of Newcastle, Callaghan, NSW, Australia
,
Neil J. CalkinDepartment of Mathematics, Clemson University, Clemson, SC, USA
,
Scott B. LindstromCARMA, University of Newcastle, Callaghan, NSW, AustraliaCorrespondence[email protected]
&
Andrew MattinglyIBM Australia, Saint Leonards, NSW, Australia
Pages 412-429 | Published online: 16 Sep 2016

References

  • [Bailey et al. 97] David H. Bailey, Jonathan M. Borwein, and Richard E. Crandall. “On the Khintchine Constant.” Math. Comput. 66 (1997), 417–431.
  • [Borwein et al. 14] Jonathan M. Borwein, Alf van der Poorten, Jeff Shallit, and Wadim Zudilin. Neverending Fractions. Australia Mathematical Society Lecture Series. Cambridge, UK: Cambridge University Press, 2014.
  • [Bourgain and Kontorovich 14] Jean Bourgain and Alex Kontorovich. “On Zaremba's Conjecture.” Ann. Math. 180 (2014), 137–196.
  • [Gosper] Bill Gosper. “Continued Fraction Arithmetic.” Perl Paraphernalia. Available October 14, 2015, online (http://perl.plover.com/classes/cftalk/INFO/gosper.txt).
  • [Lascu 14] Dan Lascu. “A Gauss-Kuzmin Theorem for Continued Fractions Associated with Nonpositive Integer Powers of an Integer M ⩾ 2.” Sci. World J. (2014), 1–8.
  • [Loya, to appear] Paul Loya. Amazing and Aesthetic Aspects of Analysis: The Incredible Infinite. To appear in the UTM series of Springer-Verlag.
  • [Stanton et al. 76] Ralph G. Stanton, C. Sudler, Jr, and Hugh C. Williams. “An Upper Bound for the Period of the Simple Continued Fraction for .” Pac. J. Math. 67 (1976), 525–536.
  • [Weisstein] Eric W. Weisstein. “Pi Continued Fraction.” From MathWorld – A Wolfram Web Resource. Available online (http://mathworld.wolfram.com/PiContinuedFraction.html).

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